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Problem #1: Let Problem #1(a): A = Problem #1(b): 5 0 1 4 -6 0 (a) Find the characteristic polynomial of A. (b) Find the two eigenvalues of A. (c) Find a basis for the eigenspace corresponding to the smallest eigenvalue. (d) Find a basis for the eigenspace corresponding to the largest eigenvalue. 11 0 -5 Problem #1(c): Select v Enter your answer as a symbolic function of x, as in these examples Separate your answers with a comma. Use x in place of A. (A) {(-6,0,1)} (B) {(-7,0,1)) (C) ((-8,0,1)} (D) {(-2,0,1)} (E) {(-5,0,1)} (F) {(-4,0,1)} (G) {(-3,0,1)} (H) {(-1,0,1)) (A) {(10,0,1)} (B) ((15,0,1)) (C) ((13,0,1)) (D) {(14,0,1)) (E) {(16,0,1)} (F) {(11,0,1)} (G) {(9,0,1)} (H) (12,0,1)) G

Problem #1: Let Problem #1(a): A = Problem #1(b): 5 0 1 4 -6 0 (a) Find the characteristic polynomial of A. (b) Find the two eigenvalues of A. (c) Find a basis for the eigenspace corresponding to the smallest eigenvalue. (d) Find a basis for the eigenspace corresponding to the largest eigenvalue. 11 0 -5 Problem #1(c): Select v Enter your answer as a symbolic function of x, as in these examples Separate your answers with a comma. Use x in place of A. (A) {(-6,0,1)} (B) {(-7,0,1)) (C) ((-8,0,1)} (D) {(-2,0,1)} (E) {(-5,0,1)} (F) {(-4,0,1)} (G) {(-3,0,1)} (H) {(-1,0,1)) (A) {(10,0,1)} (B) ((15,0,1)) (C) ((13,0,1)) (D) {(14,0,1)) (E) {(16,0,1)} (F) {(11,0,1)} (G) {(9,0,1)} (H) (12,0,1)) G

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section: Chapter Questions
Problem 8RQ
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Problem #1: Let Problem #1(a): A = Problem #1(b): 5 0 1 (a) Find the characteristic polynomial of A. (b) Find the two eigenvalues of A. (c) Find a basis for the eigenspace corresponding to the smallest eigenvalue. (d) Find a basis for the eigenspace corresponding to the largest eigenvalue. 11 0 0 -5 Problem #1(c): Select v 4 -6 Problem #1(d): Select Enter your answer as a symbolic function of x, as in these examples Separate your answers with a comma. (A) {(-6,0,1)} (B) {(-7,0,1)} (C) {(-8,0,1)} (D) {(-2,0,1)} (E) {(-5,0,1)} (F) {(-4,0,1)} (G) {(-3,0,1)} (H) {(-1,0,1)) Use x in place of A. (A) {(10,0,1)} (B) {(15,0,1)} (C) {(13,0,1)} (D) {(14,0,1)) (E) {(16,0,1)} (F) {(11,0,1)} (G) {(9,0,1)} (H) {(12,0,1)) 4
Transcribed Image Text:Problem #1: Let Problem #1(a): A = Problem #1(b): 5 0 1 (a) Find the characteristic polynomial of A. (b) Find the two eigenvalues of A. (c) Find a basis for the eigenspace corresponding to the smallest eigenvalue. (d) Find a basis for the eigenspace corresponding to the largest eigenvalue. 11 0 0 -5 Problem #1(c): Select v 4 -6 Problem #1(d): Select Enter your answer as a symbolic function of x, as in these examples Separate your answers with a comma. (A) {(-6,0,1)} (B) {(-7,0,1)} (C) {(-8,0,1)} (D) {(-2,0,1)} (E) {(-5,0,1)} (F) {(-4,0,1)} (G) {(-3,0,1)} (H) {(-1,0,1)) Use x in place of A. (A) {(10,0,1)} (B) {(15,0,1)} (C) {(13,0,1)} (D) {(14,0,1)) (E) {(16,0,1)} (F) {(11,0,1)} (G) {(9,0,1)} (H) {(12,0,1)) 4
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